Question

13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3

to find the volume of Earth.

Answer 1

We are given

• Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

`\implies \text{Volume of sphere =} \ (4\pi r^(3))/(3)`

When we substitute the radius in the formula, we get;

`\implies\text{Volume of sphere} = (4\pi (640)^(3))/(3)`

`\implies\text{Volume of sphere} = (4\pi (640)(640)(640))/(3)`

Take π as 3.14

`\implies\text{Volume of sphere} = (4\pi (640)(640)(640))/(3)`

`\implies \text{Volume of sphere} = (4(3.14)(640)(640)(640))/(3)`

Simplify the numerator;

`\implies \text{Volume of sphere} = (4(3.14)(640)(640)(640))/(3)`

`\implies \text{Volume of sphere} = (3292528640)/(3)`

Divide the numerator by 3;

`\implies \text{Volume of sphere} = (3292528640)/(3)`

`\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^(3) } \ \ \ (\text{Estimated})`